616865857272 has 576 divisors, whose sum is σ = 2065202568000. Its totient is φ = 165517406208.

The previous prime is 616865857229. The next prime is 616865857277. The reversal of 616865857272 is 272758568616.

616865857272 is a `hidden beast` number, since 6 + 1 + 6 + 8 + 6 + 58 + 572 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616865857277) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1653795678 + ... + 1653796050.

It is an arithmetic number, because the mean of its divisors is an integer number (3585421125).

Almost surely, 2^616865857272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616865857272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032601284000).

616865857272 is an abundant number, since it is smaller than the sum of its proper divisors (1448336710728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

616865857272 is a wasteful number, since it uses less digits than its factorization.

616865857272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 726 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 616865857272 in words is "six hundred sixteen billion, eight hundred sixty-five million, eight hundred fifty-seven thousand, two hundred seventy-two".